28720376064 has 432 divisors, whose sum is σ = 90639005184. Its totient is φ = 9057484800.

The previous prime is 28720376063. The next prime is 28720376077. The reversal of 28720376064 is 46067302782.

28720376064 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 0 + 37 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (28720376063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102207604 + ... + 102207884.

It is an arithmetic number, because the mean of its divisors is an integer number (209812512).

Almost surely, 2^28720376064 is an apocalyptic number.

28720376064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28720376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45319502592).

28720376064 is an abundant number, since it is smaller than the sum of its proper divisors (61918629120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28720376064 is an equidigital number, since it uses as much as digits as its factorization.

28720376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 28720376064 in words is "twenty-eight billion, seven hundred twenty million, three hundred seventy-six thousand, sixty-four".